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Finding the Third Proportional to 388,371 and 524,712

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Solution

The third proportional to 388,371 and 524,712 is: 708,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,371 : 524,712 = 524,712 : x
  2. Step 2: Convert to fraction form
    388,371/524,712 = 524,712/x
  3. Step 3: Cross multiply
    388,371x = 524,712 × 524,712
  4. Step 4: Simplify right side
    388,371x = 275,322,682,944
  5. Step 5: Solve for x
    x = 275,322,682,944/388,371
  6. Step 6: Final answer
    x = 708,916.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.